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Finding the Third Proportional to 24,219 and 53,230.50

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Solution

The third proportional to 24,219 and 53,230.50 is: 116,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219 : 53,230.50 = 53,230.50 : x
  2. Step 2: Convert to fraction form
    24,219/53,230.50 = 53,230.50/x
  3. Step 3: Cross multiply
    24,219x = 53,230.50 × 53,230.50
  4. Step 4: Simplify right side
    24,219x = 2,833,486,130.25
  5. Step 5: Solve for x
    x = 2,833,486,130.25/24,219
  6. Step 6: Final answer
    x = 116,994.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.